6 If we now assume non- degenerate conditions, then f 1 B f, and (7) becomes ( ) f ( B ) f. (8) Recognizing that the average thermal energy in 1D is W n B n ( ), we can express (8) as ( ) ( ), (9) which is the same as () and (5). Equation (9) is valid for a 1D semiconductor with parabolic energy bands under non- degenerate conditions. Summary: he general expression for the average scattering time for a semiconductor with parabolic energy bands is ( ) f d f, (3) where d 1,, or 3 depending on the dimension. For a nondegenerate semiconductor we find (independent of dimension) ( ), (31) ( ) where the average is over the equilibrium distribution as defined in (1). 6

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